A silver wire has a resistance of `2.1 Omega` at `27.5^(@) C,` and a resistance of `2.7 Omega` at `100^(@) C`. Determine the temperature coefficient of resistance of silver.

Explanation

We are `R_( theta ) = 2.1 Omega, theta = 27.5^(@) C`
`R _(theta) = 2.7 Omega , theta. = 100^(@) C`
We are to calculate, temperature coefficient of resistivity of silver.
Using relation, `(R_theta)/( R_theta) = 1 + alpha ( theta. - theta)`
`(2.7 )/( 2.1) = 1+ alpha ( 100 - 27.5 ) rArr alpha = (6)/(21)`
`alpha = (6)/( 21 xx 27.5) rArr alpha = 0.0039^(@) C^(-1)`